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Separating monomials for diagonalizable actions

Published 14 Feb 2022 in math.AC, math.AG, and math.RT | (2202.07002v3)

Abstract: Sets of monomials separating Zariski closed orbits under diagonalizable group actions are characterized in terms of the monoid of zero-sum sequences over the character group. This is applied to compare the degree bounds for separating invariants and generating invariants of diagonalizable group actions.

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